「Odds in statistics and Odds in a horse race」の版間の差分

2022年11月6日 (日) 23:38時点における版

[math]\displaystyle{ Odds=\frac{probability\ that\ the\ outcome\ occurs}{probability\ that\ the\ outcome\ does\ not\ occur} }[/math]

In order to simplify, the bookmaker in the following scenario does not charge any betting fees

Here is a horse race that 5 horses start and 20 people — 20 bettors — bet each of 5 horses.

Names of horses are A, B, C, D and E.

Each bettor bets $1 for one horse. All bet money are pooled ($20 pooled in total) and will be redistributed for bettors who bet a winning horse.

Now each all bettors bet as following:

If each horse wins, pooled $20 are redistributed as following:

Horses	Bettors	If the horse wins, $20 are redistributed...
A	10 bettors	$20 into 10 bettors; $20 ÷ 10 = $2
B	5 bettors	$20 into 5 bettors; $20 ÷ 5 = $4
C	3 bettors	$20 into 3 bettors; $20 ÷ 3 = $6.66...
D	2 bettors	$20 into 2 bettors; $20 ÷ 2 = $10
E	1 bettor	$20 into 1 bettor; $20 ÷ 1 = $20

@@ 54行目: / 54行目: @@
 ===Results===
+If each horse wins, pooled $20 are redistributed as following:
+{|class="wikitable"
+|-
+!style="width:50px"|Horses
+!style="width:80px"|Bettors
+!style="width:200px"|If the horse wins, $20 are redistributed...
+|-
+|style="text-align:center"|A
+|10 bettors
+|$20 into 10 bettors; $20 &divide; 10 = $2
+|-
+|style="text-align:center"|B
+|5 bettors
+|$20 into 5 bettors; $20 &divide; 5 = $4
+|-
+|style="text-align:center"|C
+|3 bettors
+|$20 into 3 bettors; $20 &divide; 3 = $6.66...
+|-
+|style="text-align:center"|D
+|2 bettors
+|$20 into 2 bettors; $20 &divide; 2 = $10
+|-
+|style="text-align:center"|E
+|1 bettor
+|$20 into 1 bettor; $20 &divide; 1 = $20
+|}